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Finding the Fourth Proportional to 820.17, 1,131.80 and 470.88

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Solution

The fourth proportional to 820.17, 1,131.80 and 470.88 is: 649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.17 : 1,131.80 = 470.88 : x
  2. Step 2: Convert to fraction form
    820.17/1,131.80 = 470.88/x
  3. Step 3: Cross multiply
    820.17x = 1,131.80 × 470.88
  4. Step 4: Simplify right side
    820.17x = 532,939.63
  5. Step 5: Solve for x
    x = 532,939.63/820.17
  6. Step 6: Final answer
    x = 649.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.